Local and global existence criteria for capillary surfaces in wedges

DOI10.1007/BF01190821zbMath0872.76017MaRDI QIDQ1917673

Robert Finn

Publication date: 19 October 1997

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

constant curvaturecontact angleboundary protruding corner pointmoon domainszero-gravity capillarity equation

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Applications of global differential geometry to the sciences (53C80) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (5)

On the behaviour of free H-surfaces near singular points of the support surface ⋮ Behavior of prescribed mean curvature hypersurfaces on reentrant ridges ⋮ Comments on a paper of keller, king and merchant ⋮ Radial limits of capillary surfaces at corners ⋮ Boundary behavior of rotationally symmetric prescribed mean curvature hypersurfaces in \(\mathbb{R}^4\)

Cites Work

• Radial limits of capillary surfaces at corners
• On capillary free surfaces in the absence of gravity
• On a theorem of Lancaster and Siegel.
• Variational problems of minimal surface type. II: Boundary value problems for the minimal surface equation
• Moon Surfaces, and Boundary Behaviour of Capillary Surfaces for Perfect Wetting and Non-Wetting
• Capillary Wedges Revisited
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